Finding the Third Proportional to 215,878 and 458,062

Step by Step Solution

1. Step 1: Write the proportion equation
   215,878 : 458,062 = 458,062 : x
2. Step 2: Convert to fraction form
   215,878/458,062 = 458,062/x
3. Step 3: Cross multiply
   215,878x = 458,062 × 458,062
4. Step 4: Simplify right side
   215,878x = 209,820,795,844
5. Step 5: Solve for x
   x = 209,820,795,844/215,878
6. Step 6: Final answer
   x = 971,941.54